CONDENSATION OF A ONE-DIMENSIONAL LATTICE GAS

被引:11
作者
JOHANSSON, K
机构
[1] Department of Mathematics, Royal Institute of Technology, Stockholm
关键词
D O I
10.1007/BF02100004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a one-dimensional lattice gas in the canonical ensemble with interaction energy 1/r-alpha, 1 < alpha less-than-or-equal-to 2. Using an energy-entropy argument we show that the gas condenses at sufficiently low temperatures meaning that the gas has a non-uniform density in the thermodynamic limit.
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页码:41 / 61
页数:21
相关论文
共 10 条
[1]   DISCONTINUITY OF THE MAGNETIZATION IN ONE-DIMENSIONAL 1/[X-Y]2 ISING AND POTTS MODELS [J].
AIZENMAN, M ;
CHAYES, JT ;
CHAYES, L ;
NEWMAN, CM .
JOURNAL OF STATISTICAL PHYSICS, 1988, 50 (1-2) :1-40
[2]   ISING FERROMAGNET WITH DISCONTINUOUS LONG-RANGE ORDER [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (04) :269-&
[3]   NON-EXISTENCE OF SPONTANEOUS MAGNETIZATION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (03) :212-&
[4]  
Ellis R.S., 1985, ENTROPY LARGE DEVIAT
[5]   THE PHASE-TRANSITION IN THE ONE-DIMENSIONAL ISING-MODEL WITH 1/R2 INTERACTION ENERGY [J].
FROHLICH, J ;
SPENCER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 84 (01) :87-101
[6]   SEPARATION OF PHASES AT LOW-TEMPERATURES IN A ONE-DIMENSIONAL CONTINUOUS GAS [J].
JOHANSSON, K .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 141 (02) :259-278
[7]  
Landau L D., 1959, STAT PHYS
[8]  
Rockafellar R.T., 1970, CONVEX ANAL, V2nd
[9]  
RUELLE D, 1969, STATISTICAL MECHANIC
[10]   LONG-RANGE ORDER IN ONE-DIMENSIONAL ISING SYSTEMS [J].
THOULESS, DJ .
PHYSICAL REVIEW, 1969, 187 (02) :732-&